James has a square garden with sides of length 8feet. he plans to enlarge it to a rectangle by increasing the length by 4 feet and the width by 1 feet. how many square feet in area will be added to the garden?



Answer :

The area in square feet that will be added to the garden is 44 square feet.

Length of square garden = 8 feet

Area of Square garden = [tex](side)^{2}[/tex] = [tex](8)^{2}[/tex] = 64 square feet

On enlarging the square to a rectangle, length rectangular garden is (8+4)feet i.e.,12feet and width of rectangular garden is (8+1)feet i.e.,9feet.

Area of rectangular garden = (length × width)

                                              = (12 × 9) square feet

                                              = 108 square feet

The area in square feet that will be added to the garden = (Area of rectangular garden - Area of Square garden)

= (108 square feet - 64 square feet)

= 44 square feet

The area in square feet that will be added to the garden is 44 square feet.

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